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Parallelogram
-Both pairs of opposite sides are parallel
-Both pairs of opposite sides are congruent
-One pair of opposite sides is both parallel and congruent
-both pairs of opposite angles are congruent
-The diagonals bisect each other.
Rectangle
-Prove one angle is a right angle
-Prove sides are perpendicular
-Prove diagonals are congruent
Rhombus
-Prove one pair of consecutive sides congruent
-Prove diagonals bisect the angles
-Prove Diagonals are perpendicular to each other
Square
-Prove the quadrilateral is a rectangle in which two consecutive sides are congruent
-prove the quadrilateral is a rhombus one of whose angles is a right angle.
Trapezoid
-Prove one pair of opposite sides are parallel
Isosceles Trapezoid
Prove on pair of opposite sides parallel and the other pair congruent